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11141316233760 = 253588872611801
BaseRepresentation
bin1010001000100000101000…
…1100100100101000100000
31110110002200111002011100010
42202020022030210220200
52430014403423440020
635410130000524520
72226635126304666
oct242101214445040
943402614064303
1011141316233760
113606007618a49
1212bb318320740
1362a8108b609b
142a735790cc36
15144c27c25de0
hexa220a324a20

11141316233760 has 96 divisors (see below), whose sum is σ = 35099108618112. Its totient is φ = 2970682214400.

The previous prime is 11141316233759. The next prime is 11141316233809. The reversal of 11141316233760 is 6733261314111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111413162337602 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2959860 + ... + 5571660.

It is an arithmetic number, because the mean of its divisors is an integer number (365615714772).

Almost surely, 211141316233760 is an apocalyptic number.

11141316233760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141316233760 is an abundant number, since it is smaller than the sum of its proper divisors (23957792384352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11141316233760 is a wasteful number, since it uses less digits than its factorization.

11141316233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620706 (or 2620698 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

Adding to 11141316233760 its reverse (6733261314111), we get a palindrome (17874577547871).

The spelling of 11141316233760 in words is "eleven trillion, one hundred forty-one billion, three hundred sixteen million, two hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8887 17774 26661 35548 44435 53322 71096 88870 106644 133305 142192 177740 213288 266610 284384 355480 426576 533220 710960 853152 1066440 1421920 2132880 2611801 4265760 5223602 7835403 10447204 13059005 15670806 20894408 26118010 31341612 39177015 41788816 52236020 62683224 78354030 83577632 104472040 125366448 156708060 208944080 250732896 313416120 417888160 626832240 1253664480 23211075487 46422150974 69633226461 92844301948 116055377435 139266452922 185688603896 232110754870 278532905844 348166132305 371377207792 464221509740 557065811688 696332264610 742754415584 928443019480 1114131623376 1392664529220 1856886038960 2228263246752 2785329058440 3713772077920 5570658116880 11141316233760